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Chapter 2 Review Concepts and Vocabulary. Q1. If a function is defined by the equation y = f(x), then x is called the _?_ variable and y is the _?_ variable.

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Presentation on theme: "Chapter 2 Review Concepts and Vocabulary. Q1. If a function is defined by the equation y = f(x), then x is called the _?_ variable and y is the _?_ variable."— Presentation transcript:

1 Chapter 2 Review Concepts and Vocabulary

2 Q1. If a function is defined by the equation y = f(x), then x is called the _?_ variable and y is the _?_ variable.

3 A1. independentdependent

4 Q2. A set of points in the xy- plane is the graph of a function if and only if every _?_ line intersects the graph in at most one point.

5 A2. vertical

6 Q3. The set of all images of the elements in the domain of a function is called the _?_.

7 A3. range

8 Q4. True or False: Every relation is a function.

9 A4. False

10 Q5. True or False: The y-intercept of the graph of the function y = f(x), whose domain is all real numbers, is f(0).

11 A5. True

12 Q6. True or False: The independent variable is sometimes referred to as the argument of the function.

13 A6. True

14 Q7. For the graph of the linear function f(x) = mx + b, m is the _?_ and b is the _?_.

15 A7. slopey-intercept

16 Q8. True or False: The correlation coefficient is a measure of the strength of a linear relation between two variables and must lie between -1 and 1, inclusive.

17 A8. True

18 Q9. The average rate of change of a function equals the _?_ of the secant line.

19 A9. slope

20 Q10. A function f is _?_ on an open interval if for any choice of x 1 and x 2 in the interval, with x 1

21 A10. increasing

22 Q11. An _?_ function f is one for which f(-x) = f(x) for every x in the domain of f.

23 A11. even

24 Q12. An _?_ function f is one for which f(-x) = -f(x) for every x in the domain of f.

25 A12. odd

26 Q13. True or False: Even functions have graphs that are symmetric with respect to the origin.

27 A13. false

28 Q14. The graph of f(x) = mx + b is decreasing if m is _?_ than zero.

29 A14. less

30 Q15. When functions are defined by more than one equation, they are called _?_ functions.

31 A15. piecewise

32 Q16. True or False: The cube function is odd and is increasing on the interval (- ∞, ∞).

33 A16. true

34 Q17. True or False: The domain and range of the reciprocal function are the set of all real numbers.

35 A17. false

36 Q18. Given f(x), then the graph of y = f(x – 2) may be obtained by a(n) _?_ shift of the graph of f a distance of 2 units to the _?_.

37 A18. horizontalright

38 Q19. Given f(x), then the graph of y = f(-x) may be obtained by a reflection about the _?_-axis of the graph of the function y = f(x).

39 A19. y

40 Q20. Given f(x), then the graph of y = 3f(x) may be obtained by a vertical _?_ of the graph of f by a factor of _?_.

41 A20. stretch3

42 Q21. True or False: The graph of y = - f(x) is the reflection about the x-axis of the graph of y = f(x).

43 A21. true

44 Q22. True or False: To obtain the graph of y = f(x+2) – 3, shift the graph of y = f(x) horizontally to the right 2 units and vertically down 3 units.

45 A22. false

46 Q23. True or False: To obtain the graph of y = f(4x), horizontally compress the graph of y = f(x) by a factor of 4. That is, divide each x- coordinate on the graph of y = f(x) by 4.

47 A23. true

48 Q24. If the domain of f is all real numbers in the interval [0,7], and the domain of g is all real numbers in the interval [-2,5], then the domain of f + g is all real numbers in the interval _?_.

49 A24. [0,5]

50 Q25. The domain of f/g consists of all real numbers x for which g(x) _?_ 0 that are in the domains of both _?_ and _?_.

51 A25. ≠fg

52 Q26. If f(x) = x + 1 and g(x) = x³, then _?_ = (x + 1)³.

53 A26. g(f(x))

54 Q27. True or False: f(g(x)) = f(x)· g(x)

55 A27. false

56 Q28. True or False: The domain of (f· g)(x) consists of the numbers x that are in the domains of both f and g.

57 A28. true

58 Q29. True or False: The domain of the composite function (f ◦ g)(x) is the same as the domain of g(x).

59 A29. false

60 Q30. What is the best way to study for a Math test?

61 A30. Work problems!


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